Details

sample69.0ms

Algorithm

intervals

Results

19.0ms	17×	body	1280	valid
17.0ms	50×	body	640	valid
13.0ms	139×	body	80	valid
8.0ms	31×	body	320	valid
4.0ms	19×	body	160	valid

simplify227.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	527
9	527
8	407
7	187
6	104
5	81
4	66
3	45
2	34
1	21
0	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
3.0b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
534×	`add-sqr-sqrt`
484×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
28×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
10×	`add-log-exp`
7×	`associate-/r*` `add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `difference-of-sqr-1`
3×	`expm1-log1p-u` `flip3--` `frac-add` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l*`
2×	`sum-log` `sub-neg` `diff-log` `div-exp` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 608

Calls

3 calls:

10.0ms	(/ 1 (- x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
183.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ 1 (- x 1))
29.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
116.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify3.2s

Counts

617 → 617

Iterations

Iter	Nodes
done	5001
2	3030
1	1097
0	476

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ 1 x) -2 x)
0.0b	(/ (fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
0.1b	(* (* x (+ 1 x)) (- x 1))
29.0b	(fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`add-cbrt-cube` `prod-diff` `add-exp-log`
16×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`sub-neg` `fma-udef` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `difference-of-sqr-1` `associate-l` `-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (+ 1 x) -2 x)
35.0ms	(/ (fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
44.0ms	(* (* x (+ 1 x)) (- x 1))
1.0ms	(fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(fma (+ 1 x) -2 x)
370.0ms	(/ (fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1))) (* (* x (+ 1 x)) (- x 1)))
142.0ms	(* (* x (+ 1 x)) (- x 1))
201.0ms	(fma (+ 1 x) x (* (fma (+ 1 x) -2 x) (- x 1)))

simplify2.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2828
1	654
0	216

prune631.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 1 x))
0.1b	(* (* x (+ 1 x)) (- x 1))
0.5b	(/ 2 (* (* x (+ 1 x)) (- x 1)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff` `associate-*r/`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
10×	`pow1`
8×	`frac-times` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `*-commutative` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `difference-of-sqr-1` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

23.0ms	(* x (+ 1 x))
46.0ms	(* (* x (+ 1 x)) (- x 1))
53.0ms	(/ 2 (* (* x (+ 1 x)) (- x 1)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (+ 1 x))
113.0ms	(* (* x (+ 1 x)) (- x 1))
67.0ms	(/ 2 (* (* x (+ 1 x)) (- x 1)))

simplify2.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5012
2	3198
1	669
0	211

prune442.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 2 (fma x x x)) (- x 1))
0.4b	(/ 2 (fma x x x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
136×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
80×	`add-cube-cbrt`
28×	`difference-of-squares`
16×	`associate-/l*`
14×	`difference-of-sqr-1` `distribute-lft-out--`
10×	`associate-/r*` `div-inv`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 161

Calls

2 calls:

15.0ms	(/ (/ 2 (fma x x x)) (- x 1))
4.0ms	(/ 2 (fma x x x))

series145.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(/ (/ 2 (fma x x x)) (- x 1))
27.0ms	(/ 2 (fma x x x))

simplify1.5s

Counts

167 → 167

Iterations

Iter	Nodes
done	5003
2	1709
1	630
0	260

prune633.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

854.0ms	1877×	body	640	valid
791.0ms	606×	body	1280	valid
555.0ms	4097×	body	80	valid
288.0ms	937×	body	320	valid
192.0ms	486×	body	160	valid